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Finding the Third Proportional to 46,743.75 and 102,055.78

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Solution

The third proportional to 46,743.75 and 102,055.78 is: 222,818.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,743.75 : 102,055.78 = 102,055.78 : x
  2. Step 2: Convert to fraction form
    46,743.75/102,055.78 = 102,055.78/x
  3. Step 3: Cross multiply
    46,743.75x = 102,055.78 × 102,055.78
  4. Step 4: Simplify right side
    46,743.75x = 10,415,382,486.55
  5. Step 5: Solve for x
    x = 10,415,382,486.55/46,743.75
  6. Step 6: Final answer
    x = 222,818.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.